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Hello;
I'm trying to understand how complex numbers are handled/processed in Excel. As related to my application, an interesting exercise would be to use Goal Seek w/s command to find the roots of the equation: X^2 + 4 = 0 setting the value (rounded) in cell A2 to 0 by changing A1 A1:: 1+i A2:: =COMPLEX(ROUND(IMREAL(IMSUM(IMPOWER(A1,2),4)),6), ROUND(IMAGINARY(IMSUM(IMPOWER(A1,2),4)),6)) Obviously a conventional/direct use of Goal Seek wouldn't work since Excel treats complex numbers as text. Perhaps, one should use Goal Seek twice in this case: first: find the coefficient "a" for IMREAL(A2) = 0 second: find the coefficient "b" for IMAGINARY(A2) = 0 and the root would be "a+bi". There might be an easier way to do it. Any suggetion ?? (Excel 2003 SP2, Windows XP) Thank you kindly. |
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